Examine the arrow diagram below.  

Polygon is a parallelogram → area of the polygon equals base times height.

1. Write this conjecture as a conditional (“If, then”) statement.

   Answer (a):

   If a polygon is a parallelogram, then its area equals its base times its height.

2. Write the converse of this conditional statement. Is the converse statement a true statement?

   Answer (b):

   If the area of a polygon is the base times its height, then the polygon is a parallelogram.

3. Write a similar conjecture about triangles. Write it once as a conditional statement and once as an arrow diagram.

4. Write the converse of your triangle conjecture from part (c). Is the converse statement true?